Improved LMI representations for delay-independent and delay-dependent stability conditions
作者： Yingmin Jia , Hideki Kokame
DOI: 10.1007/S11768-003-0011-5
关键词:
摘要: Some new linear matrix inequality (LMI) representations for delay-independent and delay-dependent stability conditions are obtained by introducing additional matrices eliminating the product coupling of system Lyapunov matrices. The results improve conservativeness given analysis design time-delay systems with polytopic-type uncertainty.
springer.com
sci-hub.se 参考文章(17)
E. Fridman, U. Shaked, A descriptor system approach to H/sub ∞/ control of linear time-delay systems IEEE Transactions on Automatic Control. ,vol. 47, pp. 253- 270 ,(2002) , 10.1109/9.983353
Y. Ebihara, T. Hagiwara, Robust controller synthesis with parameter-dependent Lyapunov variables: a dilated LMI approach conference on decision and control. ,vol. 4, pp. 4179- 4184 ,(2002) , 10.1109/CDC.2002.1185025
Stability and Control of Time-delay Systems Springer Berlin Heidelberg. ,(1998) , 10.1007/BFB0027478
Pascal Gahinet, Pierre Apkarian, A linear matrix inequality approach to H∞ control International Journal of Robust and Nonlinear Control. ,vol. 4, pp. 421- 448 ,(1994) , 10.1002/RNC.4590040403
M.C. de Oliveira, J. Bernussou, J.C. Geromel, A new discrete-time robust stability condition Systems & Control Letters. ,vol. 37, pp. 261- 265 ,(1999) , 10.1016/S0167-6911(99)00035-3
Said H. Esfahani, Ian R. Petersen, An LMI approach to output-feedback-guaranteed cost control for uncertain time-delay systems International Journal of Robust and Nonlinear Control. ,vol. 10, pp. 157- 174 ,(2000) , 10.1002/(SICI)1099-1239(200003)10:3<157::AID-RNC484>3.0.CO;2-K
Xi Li, Carlos E. De Souza, Criteria for robust stability and stabilization of uncertain linear systems with state delay Automatica. ,vol. 33, pp. 1657- 1662 ,(1997) , 10.1016/S0005-1098(97)00082-4
Yingmin Jia, H. Kokame, Jan Lunze, Simultaneous adaptive decoupling and model matching control of a fluidized bed combustor for sewage sludge IEEE Transactions on Control Systems and Technology. ,vol. 11, pp. 571- 577 ,(2003) , 10.1109/TCST.2003.813398
Y. Ebihara, T. Hagiwara, New dilated LMI characterizations for continuous-time control design and robust multiobjective control american control conference. ,vol. 1, pp. 47- 52 ,(2002) , 10.1109/ACC.2002.1024778
U. Shaked, Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty IEEE Transactions on Automatic Control. ,vol. 46, pp. 652- 656 ,(2001) , 10.1109/9.917671